{ "id": "1704.07118", "version": "v1", "published": "2017-04-24T09:59:07.000Z", "updated": "2017-04-24T09:59:07.000Z", "title": "Regularity properties of semilinear boundary problems in Besov and Triebel--Lizorkin spaces", "authors": [ "Jon Johnsen" ], "comment": "11 pages. A preprint from 1995, which appeared in the 1995 proceedings from St. Jean de Monts, France, available at http://archive.numdam.org/article/JEDP_1995____A14_0.pdf", "journal": "Journ\\'ees \"Equations Deriv\\'ees Partielles'', St. Jean de Monts 1995, Exp. No. XIV, 10 pp., \\'Ecole Polytechnique, Palaiseau 1995", "categories": [ "math.AP" ], "abstract": "Semi-linear elliptic boundary problems with non-linearities of product type are considered, in particular the stationary Navier--Stokes equations. Regularity and existence results are dealt with in the Besov and Triebel--Lizorkin spaces, and it is explained how difficulties occurring for boundary conditions of a high class may be handled.", "revisions": [ { "version": "v1", "updated": "2017-04-24T09:59:07.000Z" } ], "analyses": { "subjects": [ "35A01", "35B65" ], "keywords": [ "semilinear boundary problems", "triebel-lizorkin spaces", "regularity properties", "semi-linear elliptic boundary problems", "stationary navier-stokes equations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }